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10367040080 = 245129588001
BaseRepresentation
bin10011010011110110…
…00111101001010000
3222202111102012110102
421221323013221100
5132212430240310
64432413351532
7514622246435
oct115173075120
928674365412
1010367040080
11443aa18721
122013a985a8
13c92a5b757
14704bc7b8c
1540a2108a5
hex269ec7a50

10367040080 has 20 divisors (see below), whose sum is σ = 24103368372. Its totient is φ = 4146816000.

The previous prime is 10367040077. The next prime is 10367040083. The reversal of 10367040080 is 8004076301.

10367040080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10367040077) and next prime (10367040083).

It can be written as a sum of positive squares in 2 ways, for example, as 5995714624 + 4371325456 = 77432^2 + 66116^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10367040083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64793921 + ... + 64794080.

Almost surely, 210367040080 is an apocalyptic number.

10367040080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10367040080 is an abundant number, since it is smaller than the sum of its proper divisors (13736328292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10367040080 is a wasteful number, since it uses less digits than its factorization.

10367040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129588014 (or 129588008 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 10367040080 in words is "ten billion, three hundred sixty-seven million, forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 129588001 259176002 518352004 647940005 1036704008 1295880010 2073408016 2591760020 5183520040 10367040080